Finding the Fourth Proportional to 1,185.09, 1,636.29 and 765.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,185.09 : 1,636.29 = 765.69 : x
2. Step 2: Convert to fraction form
   1,185.09/1,636.29 = 765.69/x
3. Step 3: Cross multiply
   1,185.09x = 1,636.29 × 765.69
4. Step 4: Simplify right side
   1,185.09x = 1,252,890.89
5. Step 5: Solve for x
   x = 1,252,890.89/1,185.09
6. Step 6: Final answer
   x = 1,057.21